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Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Circles A, B, and C overlap. Circles A and B overlap. Circle C is to the side. Circles A, B, and C are shown. They do not overlap. Circles A and C overlap, and circles C and B overlap.

User Jpic
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Answer:

correct its d

Explanation:

User FJT
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In the Venn diagram, circles A and B are separate, indicating mutually exclusive events. Circles B and C overlap, representing non-mutually exclusive events with a shared outcome. The correct answer is option D. Circles A and C overlap, and circles C and B overlap.

Events A and B being mutually exclusive means they cannot co-occur. This is represented in the Venn diagram with separate circles for A and B, indicating no overlap.

On the other hand, Events B and C being non-mutually exclusive implies a shared outcome, depicted by the overlapping of circles B and C.

The diagram correctly illustrates the concepts, aligning with the probability rules for mutually exclusive and non-mutually exclusive events. The clear separation of circles A and B, with the intersection of circles B and C, accurately portrays the given information about the relationships between these events. Hence option D is the correct answer. Circles A and C overlap, and circles C and B overlap.

Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which-example-1
User Robgraves
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